85346948164 has 45 divisors (see below), whose sum is σ = 154873393647. Its totient is φ = 41153459256.

The previous prime is 85346948161. The next prime is 85346948173. The reversal of 85346948164 is 46184964358.

The square root of 85346948164 is 292142.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 85346948099 and 85346948108.

It is not an unprimeable number, because it can be changed into a prime (85346948161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1080341077 + ... + 1080341155.

Almost surely, 2^85346948164 is an apocalyptic number.

85346948164 is the 292142-nd square number.

It is an amenable number.

85346948164 is a deficient number, since it is larger than the sum of its proper divisors (69526445483).

85346948164 is an frugal number, since it uses more digits than its factorization.

85346948164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 124 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 58.

The spelling of 85346948164 in words is "eighty-five billion, three hundred forty-six million, nine hundred forty-eight thousand, one hundred sixty-four".